342035253520100 has 288 divisors, whose sum is σ = 938135460487680. Its totient is φ = 105530517872640.

The previous prime is 342035253520087. The next prime is 342035253520153. The reversal of 342035253520100 is 1025352530243.

It is a super-2 number, since 2×342035253520100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30734042 + ... + 40356558.

It is an arithmetic number, because the mean of its divisors is an integer number (3257414793360).

Almost surely, 2^{342035253520100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342035253520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469067730243840).

342035253520100 is an abundant number, since it is smaller than the sum of its proper divisors (596100206967580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342035253520100 is a wasteful number, since it uses less digits than its factorization.

342035253520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9622687 (or 9622680 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 342035253520100 in words is "three hundred forty-two trillion, thirty-five billion, two hundred fifty-three million, five hundred twenty thousand, one hundred".